What is the Greatest Common Factor of 70007 and 70014?

Greatest common factor (GCF) of 70007 and 70014 is 7.

GCF(70007,70014) = 7

We will now calculate the prime factors of 70007 and 70014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70007 and 70014.

How to find the GCF of 70007 and 70014?

We will first find the prime factorization of 70007 and 70014. After we will calculate the factors of 70007 and 70014 and find the biggest common factor number .

Step-1: Prime Factorization of 70007

Prime factors of 70007 are 7, 73, 137. Prime factorization of 70007 in exponential form is:

70007 = 7¹ × 73¹ × 137¹

Step-2: Prime Factorization of 70014

Prime factors of 70014 are 2, 3, 7, 1667. Prime factorization of 70014 in exponential form is:

70014 = 2¹ × 3¹ × 7¹ × 1667¹

Step-3: Factors of 70007

List of positive integer factors of 70007 that divides 70007 without a remainder.

1, 7, 73, 137, 511, 959, 10001

Step-4: Factors of 70014

List of positive integer factors of 70014 that divides 70007 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1667, 3334, 5001, 10002, 11669, 23338, 35007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70007 and 70014. The biggest common factor number is the GCF number.
So the greatest common factor 70007 and 70014 is 7.

Also check out the Least Common Multiple of 70007 and 70014